Global solutions of viscous transonic flows in Kerr geometry -- I. Weak viscosity limit

Global Solutions of Viscous Transonic Flows in Kerr Geometry I: Weak Viscosity Limit

We present fully general relativistic equations governing viscous transonic flows in vertical equilibrium in Kerr geometry. We find the complete set of global solutions (both for Optically thick and optically thin flows) in the weak viscosity limit. We show that for a large region of parameter space, centrifugal pressure supported standing shocks can form in accretion and winds very close to th...

Application of viscous-inviscid interaction methods to transonic turbulent flows

Viscous Computation of Steady/Unsteady Transonic Diffuser Flows

The lag model proposed by Olsen and Coakley (2001) is applied to simulate the steady and unsteady transonic flows in a diffuser. The unsteady flows are induced by imposing fluctuating back-pressures. A fully implicit time–accurate multigrid algorithm is used for solving the Navier-Stokes equations and the coupled k-ω turbulence model equations. Two test cases are investigated, one with a weak s...

Solutions of Two Dimensional Viscous Accretion and Winds In Kerr Black Hole Geometry

We extend our previous studies of shock waves and shock-free solutions in thin accretion and winds in pseudo-Newtonian geometry to the case when the flow is two-dimensional and around a Kerr black hole. We present equations for fully general relativistic viscous transonic flows and classify the parameter space according to whether or not shocks form in an inviscid flow. We discuss the behaviors...

Advection-dominated accretion: global transonic solutions

We obtained global transonic solutions representing optically thin advectiondominated accretion flow by solving the full set of differential equations describing such systems. We found that far from the sonic point self-similar solutions are an excellent approximation of the global flow structure if the accretion rate is well below the maximum value above which no optically thin solutions exist...